Results 11 to 20 of about 519,227 (204)
Turing Instability of Brusselator in the Reaction-Diffusion Network [PDF]
Complexity, 2020 Turing instability constitutes a universal paradigm for the spontaneous generation of spatially organized patterns, especially in a chemical reaction. In this paper, we investigated the pattern dynamics of Brusselator from the view of complex networks ...
Yansu Ji, Jianwei Shen
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Turing instabilities in general systems [PDF]
Journal of Mathematical Biology, 2000 We present necessary and sufficient conditions on the stability matrix of a general n(S2)-dimensional reaction-diffusion system which guarantee that its uniform steady state can undergo a Turing bifurcation.
Satnoianu, RA +5 more
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Pattern formation (II): The turing instability [PDF]
Proceedings of the American Mathematical Society, 2019 We consider the classical Turing instability in a reaction-diffusion system as the secend part of our study on pattern formation. We prove that nonlinear dynamics of a general perturbation of the Turing instability is determined by the finite number of ...
Hwang, HJ, Guo, Y
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Backward Parabolicity, Cross-Diffusion and Turing Instability [PDF]
Journal of Nonlinear Science, 2018 International audienceWe show that the ill-posedness observed for cross-diffusion systems, that is due to backward parabolicity, can be interpreted as a limiting Turing instability of a corresponding semi-linear parabolic system. Our analysis is based on
Salort, Delphine +5 more
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Turing instability in a general system
Nonlinear Analysis: Theory, Methods & Applications, 2018 We study Turing instability in a reaction-diffusion system of n-species. We extend to a general n by n system, the result on the nonlinear dynamics of the Turing patterns for 2-species (Guo and Hwang, 2007) [1].
Hoang, T, Hwang, HJ
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Potential Turing instability and application to plant-insect models [PDF]
Mathematical and Computer Modelling, 2011 We show in this paper that the analysis of diffusion-induced instability in spatially extended models can be performed by separating local dynamics from diffusion.
RINALDI, SERGIO +7 more
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Effect of clustering on Turing instability in complex networks [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear ScienceTuring instability in complex networks have been shown in the literature to be dominated by the distribution of the nodal degrees. The conditions for Turing instability have been derived with an explicit dependence on the eigenvalues of the Laplacian ...
Jaiswal, Devanand +2 more
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Spikes for the gierer-meinhardt system with many segments of different diffusivities [PDF]
, 2008 We rigorously prove results on spiky patterns for the Gierer-Meinhardt system with a large number of jump discontinuities in the diffusion coefficient of the inhibitor.
Winter, M, Tse, W, Wei, J
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The Turing Way: A Handbook for Reproducible Data Science
, 2019 <p>Reproducible research is necessary to ensure that scientific work can be trusted. Funders and publishers are beginning to require that publications include access to the underlying data and the analysis code.
The Turing Way Community (6945962) +19 more
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Turing instability for a Leslie–Gower model
Ricerche di Matematica, 2023 Abstract The aim of this paper is to investigate a reaction-diffusion Leslie–Gower predator–prey model, incorporating the intraguild predation and both self and cross-diffusion. The longtime behaviour of the solutions is analysed, proving the existence of an absorbing set.
Capone F. +4 more
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